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Finding the Fourth Proportional to 225,687.80, 311,307.54 and 145,219.88

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Solution

The fourth proportional to 225,687.80, 311,307.54 and 145,219.88 is: 200,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,687.80 : 311,307.54 = 145,219.88 : x
  2. Step 2: Convert to fraction form
    225,687.80/311,307.54 = 145,219.88/x
  3. Step 3: Cross multiply
    225,687.80x = 311,307.54 × 145,219.88
  4. Step 4: Simplify right side
    225,687.80x = 45,208,043,601.90
  5. Step 5: Solve for x
    x = 45,208,043,601.90/225,687.80
  6. Step 6: Final answer
    x = 200,312.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.